Spinning higher dimensional Einstein–Yang–Mills black holes

Sushant G Ghosh,Uma Papnoi

doi:10.1140/epjc/s10052-014-3016-y

Sushant G Ghosh, Uma Papnoi

Open Access

https://doi.org/10.1140/epjc/s10052-014-3016-y

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Abstract

We construct a Kerr-Newman-like spacetimes starting from higher dimensional (HD) Einstein-Yang-Mills black holes via complex transformations suggested by Newman-Janis. The new metrics are HD generalization of Kerr-Newman spacetimes which has a geometry precisely that of Kerr-Newman in 4D corresponding to Yang-Mills (YM) gauge charge, but the sign of charge term gets flipped in the HD spacetimes. It is interesting to note that gravitational contribution of YM gauge charge, in HD, is indeed opposite (attractive rather than repulsive) that of Maxwell charge. The effect of YM gauge charge on the structure and location of static limit surface and apparent horizon is discussed. We find that static limit surfaces become less prolate with increase in dimensions and are also sensitive to YM gauge charge thereby affecting the shape of ergosphere. We also analyze some thermodynamical properties of these BHs.

Highlights

It is rather well established that higher dimensions provide a natural playground for string theory and they are required for its consistency [21,22]
We have presented a higher dimensional (HD) version of a rotating EYM black hole (BH) solution using the complex transformation and we demonstrated that it has all properties of a rotating BH
We have extended Newman–Janis Algorithm (NJA) in order to construct a spinning BH from HD EYM BH

Summary

Introduction

It is rather well established that higher dimensions provide a natural playground for string theory and they are required for its consistency [21,22]. It has been demonstrated that when employing HD dimensional spacetime the two approaches lead to the same result [32,33] The main purpose of this work is to apply NJA to the HD EYM BH metric previously discovered in [29,30,31] and the spinning HD EYM BH metric is obtained. This result shows that NJA works well in HD spacetime.

Static BH in HD EYM theory

Spinning HD EYM BH via NJA

Horizon properties

SLS and EH

Ergosphere

Conclusion